Question

The sum of the measures of five interior angles of a hexagon is 593°. Find the missing measure of the sixth interior angle.

Answer 1

General Formula for a n-gon:

$\boxed { \boxed { \text { (n-2) x 180}}}$

A hexagon has 6 sides.

Sum of all interior angles of a hexagon = (6 - 2) x 180 = 4 x 180 = 720°

Given that sum of 5 interior angles = 593°

6th interior angles = 720 - 593 = 127°

$\boxed { \boxed { \text {The 6th angle is 127\textdegree} }}$